39945296000 has 512 divisors, whose sum is σ = 113420736000. Its totient is φ = 13908787200.

The previous prime is 39945295993. The next prime is 39945296051. The reversal of 39945296000 is 69254993.

It is a super-3 number, since 3×39945296000³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202767902 + ... + 202768098.

It is an arithmetic number, because the mean of its divisors is an integer number (221524875).

Almost surely, 2^39945296000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39945296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56710368000).

39945296000 is an abundant number, since it is smaller than the sum of its proper divisors (73475440000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39945296000 is a wasteful number, since it uses less digits than its factorization.

39945296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 47.

The spelling of 39945296000 in words is "thirty-nine billion, nine hundred forty-five million, two hundred ninety-six thousand".